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Finding the Fourth Proportional to 1,164.16, 1,606.54 and 640.23

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Solution

The fourth proportional to 1,164.16, 1,606.54 and 640.23 is: 883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.16 : 1,606.54 = 640.23 : x
  2. Step 2: Convert to fraction form
    1,164.16/1,606.54 = 640.23/x
  3. Step 3: Cross multiply
    1,164.16x = 1,606.54 × 640.23
  4. Step 4: Simplify right side
    1,164.16x = 1,028,555.10
  5. Step 5: Solve for x
    x = 1,028,555.10/1,164.16
  6. Step 6: Final answer
    x = 883.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.